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Finding the Third Proportional to 127,089 and 250,988.63

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Solution

The third proportional to 127,089 and 250,988.63 is: 495,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,089 : 250,988.63 = 250,988.63 : x
  2. Step 2: Convert to fraction form
    127,089/250,988.63 = 250,988.63/x
  3. Step 3: Cross multiply
    127,089x = 250,988.63 × 250,988.63
  4. Step 4: Simplify right side
    127,089x = 62,995,289,879.39
  5. Step 5: Solve for x
    x = 62,995,289,879.39/127,089
  6. Step 6: Final answer
    x = 495,678.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.